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13330311330 = 235729793487
BaseRepresentation
bin11000110101000110…
…00110100010100010
31021102000022222102110
430122203012202202
5204300024430310
610042430500150
7651223530300
oct143243064242
937360288373
1013330311330
115720682226
122700364656
1313459533ab
1490658d270
1553044bd20
hex31a8c68a2

13330311330 has 96 divisors (see below), whose sum is σ = 37600125696. Its totient is φ = 3015484416.

The previous prime is 13330311329. The next prime is 13330311347. The reversal of 13330311330 is 3311303331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13330311297 and 13330311306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95847 + ... + 189333.

It is an arithmetic number, because the mean of its divisors is an integer number (391667976).

Almost surely, 213330311330 is an apocalyptic number.

13330311330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800062848).

13330311330 is an abundant number, since it is smaller than the sum of its proper divisors (24269814366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13330311330 is a wasteful number, since it uses less digits than its factorization.

13330311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93608 (or 93601 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13330311330 its reverse (3311303331), we get a palindrome (16641614661).

The spelling of 13330311330 in words is "thirteen billion, three hundred thirty million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 97 98 105 147 194 210 245 291 294 485 490 582 679 735 970 1358 1455 1470 2037 2910 3395 4074 4753 6790 9506 10185 14259 20370 23765 28518 47530 71295 93487 142590 186974 280461 467435 560922 654409 934870 1308818 1402305 1963227 2804610 3272045 3926454 4580863 6544090 9068239 9161726 9816135 13742589 18136478 19632270 22904315 27204717 27485178 45341195 45808630 54409434 63477673 68712945 90682390 126955346 136023585 137425890 190433019 272047170 317388365 380866038 444343711 634776730 888687422 952165095 1333031133 1904330190 2221718555 2666062266 4443437110 6665155665 13330311330